875.39 is what percent of 823.24 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 823.24 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 823.24, so we can write it down as 100%=823.24.
4. We know, that x% equals 875.39 of the output value, so we can write it down as x%=875.39.
5. Now we have two simple equations:
1) 100%=823.24
2) x%=875.39
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=823.24/875.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 875.39 is what percent of 823.24

100%/x%=823.24/875.39
(100/x)*x=(823.24/875.39)*x       - we multiply both sides of the equation by x
100=0.94042655273649*x       - we divide both sides of the equation by (0.94042655273649) to get x
100/0.94042655273649=x
106.33472620378=x
x=106.33472620378

now we have:
875.39 is 106.33472620378% of 823.24